The main result of the present work is the finding of fundamental solutions for a class of three-dimensional singular elliptic equations with a parameter. The fundamental solutions found contain Lauricella's hypergeometric functions and, as particular cases, other special functions such as Appel's a
Fundamental solutions of linear elliptic equations containing a small parameter
β Scribed by N. A. Ivanova
- Publisher
- SP MAIK Nauka/Interperiodica
- Year
- 1968
- Tongue
- English
- Weight
- 287 KB
- Volume
- 4
- Category
- Article
- ISSN
- 0001-4346
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π SIMILAR VOLUMES
We extend to difference equations the classical method of harmonic balance. We show that the method can be used to obtain an approximation to the periodic solutions of a special class of second-order nonlinear di$erence equations containing a small parameter. Two examples illustrating the method are
We extend to a particular class of nonlinear difference equations the classical method of equivalent linearization. We show that the method can be used to obtain an approximation to the periodic solutions of these equations. In particular, we can determine the parameters of the limit cycles and limi